Answer:
Below.
Step-by-step explanation:
a. Φ^2 − Φ − 1 = 0
Φ2 − Φ = 1
(Φ - 0.5)^2 - 0.25 = 1
(Φ - 0.5)^2 = 1.25
Φ - 0.5 = √(1.25) (We only take the positive root).
Φ = 0.5 + √(1.25)
b. I used Completing the square.
c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.
Answer:
1/9 quart in each glass
Step-by-step explanation:
2/3) / 6
(2/3) * (1/6) = 2/18 = 1/9 quart in each glass
Answer:
29ft 6.33070866
Step-by-step explanation:
9m / 0.3048
= 29.527559055ft
The direction vector of the line
L: x=1+t, y=4t, z=2-3t
is <1,4,-3>
which is also the required normal vector of the plane.
Since the plane passes through point (-5,9,10), the required plane is :
Π 1(x-(-5)+4(y-9)-3(z-10)=0
=>
Π x+4y-3z=1
Answer:
f(-3) = 9
Step-by-step explanation:
Lets define f(a) first where a is any integer,
f(a) is found out by putting the integer in the function in place of the variable
So for the given question
In order to find f(-3) we will put -3 in place of x
So putting -3,
So, the value of function at -3 is 9 ..
